From what I hear, this is not abnormal...one is for the primary drip pan, the second is the emergency or secondary pan. If you ever walk by, you'd normally only see water coming from one. If you see it from the other, you have a problem, and it is time to fix it before you have a flood, ruining your ceilings and maybe walls and floor as well.

IF that were the case, could they be combined into 1 pipe?
I am moving the pipes and would prefer to wye them together to avoid having 4 pipes running through my closet (the other two being the WH T&P and overflow). Not that 3 is that much better...

No, you cannot connect them to one pipe.
If you want to get rid of the secondary you should have a float switch installed (if possible with your existing arrangement) which would turn the unit off at a predetermined level in the pan.